233k views
2 votes
Find a polynomial function that has the given zeros. (There are many correct answers.) 0,3

a) f(x) = x(x-3)
b) f(x) = x^2 - 3
c) f(x) = x^2 + 3x
d) f(x) = x^2 + 3

1 Answer

5 votes

Final answer:

A polynomial function is a polynomial with real or complex coefficients in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0. To find a polynomial function with given zeros, use the fact that if a number a is a zero of a polynomial function, then the factor (x - a) will be a factor of the polynomial function. For the zeros 0 and 3, one possible polynomial function is f(x) = x(x - 3).

Step-by-step explanation:

A polynomial function is defined as a function that can be written in form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where an an-1, ..., a1, and a0 are constants.

To find a polynomial function with given zeros, you can use the fact that if a number a is a zero of a polynomial function, The question asked concerns determining which statement best completes a chart comparing reasons for and against adding a new varsity sport to a high school's offerings. then the corresponding factor (x - a) will be a factor of the polynomial function.

For the zeros 0 and 3, one possible polynomial function is f(x) = x(x - 3). This function will be zero when either x = 0 or x = 3.

User JstnPwll
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories